A data set includes data from student evaluations of courses. The summary statistics are n=92, x = 4.16, s= 0.57. Use a 0.10 significance level to test the claim that the population of student course evaluations has a mean equal to 4.25. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? O A. Họ: H= 4.25 O B. Ho: =4.25 H: u<4.25 H1: u>4.25 OC. Ho: u#4.25 D. Họ: H=4.25 H:µ=4.25 H:H44.25 Determine the test statistic. (Round to two decimal places as needed.)
A data set includes data from student evaluations of courses. The summary statistics are n=92, x = 4.16, s= 0.57. Use a 0.10 significance level to test the claim that the population of student course evaluations has a mean equal to 4.25. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? O A. Họ: H= 4.25 O B. Ho: =4.25 H: u<4.25 H1: u>4.25 OC. Ho: u#4.25 D. Họ: H=4.25 H:µ=4.25 H:H44.25 Determine the test statistic. (Round to two decimal places as needed.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A data set includes data from student evaluations of courses. The summary statistics are \( n = 92, \, \bar{x} = 4.16, \, s = 0.57 \). Use a 0.10 significance level to test the claim that the population of student course evaluations has a mean equal to 4.25. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.
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**What are the null and alternative hypotheses?**
- **A.** \( H_0: \mu = 4.25 \)
\( H_1: \mu < 4.25 \)
- **B.** \( H_0: \mu = 4.25 \)
\( H_1: \mu > 4.25 \)
- **C.** \( H_0: \mu \neq 4.25 \)
\( H_1: \mu = 4.25 \)
- **D.** \( H_0: \mu = 4.25 \)
\( H_1: \mu \neq 4.25 \) (Correct choice)
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**Determine the test statistic.**
\( \text{(Round to two decimal places as needed.)} \)
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The diagram includes options A through D, with the correct hypothesis test selection indicated as D: \( H_0: \mu = 4.25 \), \( H_1: \mu \neq 4.25 \).
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